Resumen de A finite element approximation of the energytransfer process in a plate with non-lineartemperature-dependent heat source

Sérgio Frey, Maria Luisa Martins Costa, R. M. Saldanha da Gama

• The present work studies the finite element approximation for the heattransfer process in an opaque three-dimensional plate with a non-linear temperature-dependent source dominating the conductive operator. A solution for the non-linearresulting problem is constructed by employing a convergent sequence of linear problemswhose simulation technique is known. Since the classical Galerkin method presentsinstabilities when subjected to very high source-dominated regimen, both Galerkin anda Gradient-Galerkin/Least-Squares formulations are presented for a linear problem - anelement of the convergent sequence.